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Approximately how many times greater is [tex]$5 \times 10^8$[/tex] than [tex]$8 \times 10^5$[/tex]?

A. 62.5
B. 625
C. 6250
D. 625,000

Answer :

To determine how many times greater [tex]\(5 \times 10^8\)[/tex] is than [tex]\(8 \times 10^5\)[/tex], follow these steps:

1. Write down the numbers:
- The first number is [tex]\(5 \times 10^8\)[/tex].
- The second number is [tex]\(8 \times 10^5\)[/tex].

2. Calculate the values:
- For [tex]\(5 \times 10^8\)[/tex], calculate as follows:
[tex]\[
5 \times 10^8 = 5 \times 100,000,000 = 500,000,000
\][/tex]
- For [tex]\(8 \times 10^5\)[/tex], calculate as follows:
[tex]\[
8 \times 10^5 = 8 \times 100,000 = 800,000
\][/tex]

3. Determine how many times greater:
- Divide the larger number by the smaller number to see how many times greater it is:
[tex]\[
\text{Times greater} = \frac{500,000,000}{800,000}
\][/tex]

4. Perform the division:
- Calculate the division:
[tex]\[
\frac{500,000,000}{800,000} = 625
\][/tex]

Therefore, [tex]\(5 \times 10^8\)[/tex] is 625 times greater than [tex]\(8 \times 10^5\)[/tex]. The correct choice from the given options is 625.

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